1
GATE ECE 2006
MCQ (Single Correct Answer)
+2
-0.6
The unit impulse response of a system is: $$$h\left(t\right)\;=\;e^{-t},\;t\geq0$$$ For this system, the steady-state value of the output for unit step input is equal to
A
-1
B
$$0$$
C
1
D
$$\infty$$
2
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
In the derivation of expression for peak percent overshoot,$$$M_p=exp\left(\frac{-\mathrm{πξ}}{\sqrt{1-\xi^2}}\right)\times100\%$$$ .Which one of the following conditions is NOT required?
A
System is linear and time invariant.
B
The system transfer function has a pair of complex conjugate poles and no zeroes.
C
There is no transportation delay in the system.
D
The system has zero initial conditions.
3
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
A ramp input applied to an unity feedback system results in 5% steady state error. The type number and zero frequency gain of the system are respectively.
A
1 and 20
B
0 and 20
C
0 and 1/20
D
1 and 1/20
4
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A causal system having the transfer function $$G\left(s\right)\;=\;\frac1{s\;+\;2}$$ is excited with 10u(t). The time at which the output reaches 99% of its steady state value is
A
2.7 sec
B
2.5 sec
C
2.3 sec
D
2.1 sec
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